Southampton are holding out for £30m from Liverpool for their captain Adam Lallana and insist they do not need to sell any of the players. Photograph: BPI/Michael Zemanek/ BPI/Michael Zemanek/BPI/Corbi

Southampton have claimed they would “prefer” not to partake in any transfers until a new manager is in place – with the club’s statement effectively conceding players such as Luke Shaw and Adam Lallana are for sale at the right price.

While Manchester United are Shaw’s chosen destination and Southampton are holding out for £30m from Liverpool for Lallana – each of whom are with the England squad at the Miami World Cup training camp – the club’s stance suggests the deals will only occur after the tournament, which starts on Thursday week, is played.

Southampton are in the process of recruiting a new manager following Mauricio Pochettini’s departure to take charge at Tottenham, with Ronald Koeman, David Moyes, Murat Yakin, Michael Laudrup and Steve McClaren all linked with the position at St Mary’s.

The south-coast club insisted they have no need to accept any offers and confirmed they had been subject to multiple bids for a number of their players over the past few weeks. The club also said that the incoming manager would have the final say over any new recruits and departures, with Dejan Lovren and Jay Rodriguez also among those players attracting interest.

“Southampton can confirm that we have received multiple offers for some of our players in the past weeks. This is a confirmation of the depth of the development that is ongoing in our academy and of the present standing of our first team within the Premier League.

“We are staying true to our plan and vision and, as a result, we have no need to accept any offers. We are deep in the process of appointing a new manager who will continue to move our club forward. It remains our preference not to partake in any transfers until the new manager is in place. Our scouting & recruitment department continues to monitor targets we have identified to improve our squad, and the new manager will have final input into our recruitment process.”

Regarding Rickie Lambert’s £4.5m move to Liverpool, the club added: “However, Southampton can confirm that it has reached agreement with Liverpool for the transfer of Rickie Lambert. There may be circumstances under which the club will feel it is right for a player to move on. Those circumstances have to be right for the club and the player. This is the case with Rickie’s move to Liverpool.

“When Rickie Lambert requested to leave for Liverpool, the club felt it could not stand in the way of having him fulfil his boyhood dream of playing at home. It will be a big challenge to replace him and our intention is to source a quality replacement who will fill his shoes now but also for many years to come.”

Ralph Krueger, the Southampton chairman, said: “On behalf of the club, I would like to thank Rickie. He served with distinction and helped to take Saints from League 1 to the Premier League. Rickie has been a shining light in Saints’ growth and will forever remain an icon in the history of the club. He leaves with the best wishes of everyone at Southampton and will always be welcome back at St Mary’s.”